<p>Neutrosophic Submodule of Direct Sum M &oplus; N</p>
<p>Binu R.1</p>
<p>1Rajagiri School of Engineering and Technology, Kerala, India</p>
<p>Email: 1984binur@gmail.com</p>
<p>Abstract</p>
<p>The paper focuses on neutrosophic algebraic structures and operations applicability to the study of classical algebraic</p>
<p>structures, particularly the R-module. The definition of neutrosophic submodules P and Q was further</p>
<p>developed upon in this work in order to create neutrosophic submodules of P + Q. In this study, the neutrosophic</p>
<p>submodule of the direct sum M &oplus; N is constructed, analyzed, and its associated results are examined.</p>
<p>Additionally, several algebraic results of the neutrosophic submodule&rsquo;s direct sum of a non-empty arbitrary</p>
<p>family of submodules are examined.</p>
<p>&nbsp;</p>
<p>Keywords: R-module, Neutrosophic Set, Neutrosophic Submodule, Support, Neutrosophic Point</p>